• Distinguished Lectures in Geometric Analysis

    The second in our series of Distinguished Lectures in Geometric Analysis will be given on October 31 and November 2, 2018, by Professor Bo Berndtsson from Chalmers University of Technology in Sweden.  The topic will be Complex Brunn-Minkowski theory. Read More
  • College Welcomes 19 New Faculty Members this Fall

    The College of Computer, Mathematical, and Natural Sciences welcomed 19 new tenured/tenure-track faculty members to the University of Maryland this fall. The brief introductions to the new faculty members can be read on CMNS website. Read More
  • In memory of our colleague David C. Lay

    Our long-time colleague Professor Eneritus David Lay passed away October 12, 2018. David earned his BA at Aurora College in 1962, and his PhD at UCLA in 1966. He then came to Maryland where he rose through the ranks to Professor in 1977. A gifted teacher, he won the campus Read More
  • The Canadian Journal of Statistics Award 2018, to Victor de Oliveira and Benjamin Kedem

    The Canadian Journal of Statistics Award is presented each year by the Statistical Society of Canada to the author(s) of an article published in the journal, in recognition of the outstanding quality of the methodological innovation and presentation. This year’s winner is the article entitled “Bayesian analysis of a density ratio Read More
  • Outstanding Director of Graduate Studies Award

    Professor Konstantina Trivisa has been selected for the Outstanding Director of Graduate Studies (DGS) Award for 2018.  Directors of Graduate Studies are critical partners of the Graduate School in shaping graduate education and ensuring the success of graduate students.  The Outstanding Director of Graduate Studies Award recognizes exceptional contributions made Read More
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Description

An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software package MATLAB. Credit will be granted for only one of the following: MATH 241 or MATH 340.

Prerequisites

MATH 141

Topics

(by chapter)

XI. Vectors, Lines and Planes.

Cartesian coordinates of space
Vectors
Lines
Planes
Dot and cross product

XII. Vector-valued Functions

Vector-valued functions
Tangents
Normals
Curvature

XIII. Partial Derivatives

Quadric surfaces
Partial derivatives
Chain rule
Directional derivatives
Gradients
Extreme values
Lagrange multipliers

XIV. Multiple Integrals

Double and triple integrals
Change of variable
Volume
Surface area
Moments and centers of gravity

XV. Calculus of Vector Fields

Line and surface integrals
Green's theorem
Stokes' theorem
Divergence theorem

  • William E. Kirwan Hall, home of the Mathematics Department

    William E. Kirwan Hall, home of the Mathematics Department

  • The Experimental Geometry Lab explores the structure of low dimensional space

    The Experimental Geometry Lab explores the structure of low dimensional space

  • Maryland mathematicians help to investigate the inner workings of E_8

    Maryland mathematicians help to investigate the inner workings of E_8

  • Hyperbolic Space Tiled with Dodecahedra

    Hyperbolic Space Tiled with Dodecahedra

  • Isotropoic Gaussian random field with Matern correlation

    Isotropoic Gaussian random field with Matern correlation

  • Part of the proof of the Peter-Weyl theorem

    Part of the proof of the Peter-Weyl theorem